Two balls are randomly chosen (without replacement) from an urn containing 8 white, 4 black and 2 red balls. Suppose that a contestant wins $2 for each black ball selected and looses $1 for each white ball selected. Let X denote the winnings. (a) Write down the probability mass function (PMF) of X. (b) Find the cumulative distribution function (CDF) of X.
Two balls are randomly chosen (without replacement) from an urn containing 8 white, 4 black and 2 red balls. Suppose that a contestant wins $2 for each black ball selected and looses $1 for each white ball selected. Let X denote the winnings. (a) Write down the probability mass function (PMF) of X. (b) Find the cumulative distribution function (CDF) of X.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 41E
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please solve explain both part a and b for my understanding
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